Once the mapping file contains an appropriate arrangement, run
reconfigurator.pl
again:

# /usr/local/psa/bin/reconfigurator.pl ipaddresses.map

It will read the mapping file and perform the replacement according to its content.

Rebuild configuration for Plesk services:

For Plesk 12.5 and newer

# plesk bin repair -r

For Plesk 12.0 and below:

# /usr/local/psa/bin/repair -r

Note: reconfigurator.pl script updates IP addresses in Plesk, but does not do anything with server network interface. If old IP address(es) are not needed any more, remove them from the network interface manually.